Question
Solve for \( m \) : \( 4-2(4 m-2)=0 \)
Ask by May Young. in Uganda
Feb 17,2025
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Tutor-Verified Answer
Answer
\( m=1 \)
Solution
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Extra Insights
Let's solve the equation step by step. First, distribute the -2: \[ 4 - 2(4m - 2) = 0 \] \[ 4 - 8m + 4 = 0 \] Combine like terms: \[ 8 - 8m = 0 \] Next, isolate \( m \): \[ -8m = -8 \] \[ m = 1 \] Therefore, the solution for \( m \) is \( m = 1 \). To double-check: substitute \( m \) back into the original equation: \[ 4 - 2(4(1) - 2) = 4 - 2(4 - 2) = 4 - 2(2) = 4 - 4 = 0 \] So the solution is confirmed!